Question

Answer my ques plzzz.

attempt 6th question of binomial ​

Answer 1

Answer:

Value of a is -2 and b is -16/3

Step-by-step explanation:

We Have :-

Triangle whose vertices are ( 2a , 2 , 6 ) ; ( -4 , 3b , 10 ) ; ( 8 , 14 , 4 )

Triangle whose vertices are ( 2a , 2 , 6 ) ; ( -4 , 3b , 10 ) ; ( 8 , 14 , 4 ) Origin is the centroid of the triangle

To Find :-

Value of a and b

Formula Used :-

$centroid \: of \: triangle \: = ( \: \dfrac{x _{1} + y_{1} + z_{1} }{3} \: \dfrac{x _{2} + y_{2} + z_{2} }{3} \: \dfrac{x _{3} + y_{3} + z_{3} }{3})$

Solution :-

$( \: \dfrac{x _{1} + y_{1} + z_{1} }{3} \: \dfrac{x _{2} + y_{2} + z_{2} }{3} \: \dfrac{x _{3} + y_{3} + z_{3} }{3}) \\ \\ \\ putting \: values \\ \\ \\ ( \: \dfrac{2a - 4 + 8 }{3} \: \dfrac{2 +3b + 14 }{3} \: \dfrac{6 - 10 + 4}{3}) \\ \\ \\ equating \: the \: equations \: to \: rhs \\ \\ \\ \dfrac{2a - 4 + 8}{3} = 0 \\ \\ \\ 2a - 4 + 8 = 0 \\ \\ \\ 2a = - 4 \\ \\ \\ a = - 2 \\ \\ \\ \dfrac{2 + 3b + 14}{3} = 0 \\ \\ \\ 2 + 3b + 14 = 0 \\ \\ \\ 3b + 16 = 0 \\ \\ \\ 3b = - 16 \\ \\ \\ b = - \dfrac{16}{3}$

Value of a is -2 and b is -16/3

Answer 2

Value of a is -2and b is 26/3